A particle of rest mass `m_0` moves along the x axis of the frame K in accordance with the law `x=sqrt(a^2+c^2t^2)`, where `a` is a constant, c is the velocity of light, and t is time. Find the force acting on the particle in this reference frame.

A particle constrained to move along the x-axis in a potential V=k"x"^(2) is subjected to an external time dependent force vec(f)(t) here k is a constant, x the distance from the origin, and t the time. At some time T, when the particle has zero velocity at x = 0, the external force is removed. Choose the incorrect options – (1) Particle executes SHM (2) Particle moves along +x direction (3) Particle moves along – x direction (4) Particle remains at rest

A partiale of mass m is moving in a circular path of radius r such that its centripetal acceleration is varying with time t as a_c = k^2rt^2, where k is constant. The power delivered to the particle by the forces acting on it is

A particle of mass m moves along a horizontal circle of radius R such that normal acceleration of particle varies with time as a_(n)=kt^(2). where k is a constant. Total force on particle at time t s is

A particle moves along a line according to the law s(t)=2t^(3)-9t^(2)+12t-4 , where tge0 . Find the particle's acceleration each time the velocity is zero.

A particle moves along the x-axis in such a way that its coordinates x varies with time 't' according to the equation x=2-5t+6t^(2) . What is the initial velocity of the particle?

A particle moves along x-axis according to the law x=(t^(3)-3t^(2)-9t+5)m . Then :-